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Received June 20, 2016
Accepted August 24, 2016
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On Compositional Convection in Near-Eutectic Solidification System Cooled from a Bottom Boundary
Department of Chemical Engineering, The University of Suwon, 17, Wauan-gil, Bongdam-eup, Hwaseong, Gyeonggi, 18323, Kroea, Korea
ighwang@suwon.ac.kr
Korean Chemical Engineering Research, December 2017, 55(6), 868-873(6), 10.9713/kcer.2017.55.6.868 Epub 5 December 2017
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Abstract
Natural convection is driven by the compositional buoyancy in solidification of a binary melt. The stabilities of convection in a growing mushy layer were analyzed here in the time-dependent solidification system of a neareutectic melt cooled impulsively from below. The linear stability equations were transformed to self-similar forms by using the depth of the mushy layer as a length scale. In the liquid layer the stability equations are based on the propagation theory and the thermal buoyancy is neglected. The critical Rayleigh number for the mushy layer increases with decreasing the Stefan number and the Prandtl number. The critical conditions for solidification of aqueous ammonium chloride solution are discussed and compared with the results of the previous model for the liquid layer.
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Choi CK, Park JH, Park HK, Cho HJ, Chung TJ, Kim MC, Int. J. Therm. Sci., 43(8), 817 (2004)
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Hwang IG, Choi CK, J. Cryst. Growth, 220(3), 326 (2000)
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Chung CA, Chen F, J. Fluid Mech., 408, 53 (2000)
Nield DA, Bejan A, Convection in porous media, 4th ed., Springer Science & Business Media, New York, NY(2013).
